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Showing 1 to 3 of 3 for “"Vlasov-Fokker-Planck equation"”.

  1. Relaxation to equilibrium for kinetic Fokker-Planck equation

    … behaviour of solutions $f_t$ of kinetic Fokker-Planck equation in $\mathbb{R}^d$, namely their convergence towards equilibrium $f_\infty$ in the form \[ \textrm{d}(f_t,f_\infty)\leq C_1 e^{-C_2 t}\textrm{d}(f_0,\mu) \] for appropriate distances $\textit{d}$ and constants $C_1 \geq 1$, …

    cambridge Repository record for Relaxation to equilibrium for kinetic Fokker-Planck equation (opens in a new tab)

  2. Weakly collisional electrostatic simulations for laboratory astrophysics applications

    … adopts a hybrid approach, in that it solves the Vlasov-Fokker-Planck equation exactly for the ions by exploiting recently developed pseudo-spectral methods, while applying a fluid model to the electrons. With this code it is possible to perform a detailed study of wave and shock dynamics in the …

    qu-belfast Repository record for Weakly collisional electrostatic simulations for laboratory astrophysics applications (opens in a new tab)

  3. Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures

    … be described by nonlinear partial differential equations (PDEs). Yet, analytic solutions are oftentimes unavailable, and lab experiments can be time consuming and expensive; thus motivating the need for numerical solutions. Constructing low-storage, efficient and robust algorithms for solving …

    udel Repository record for Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures (opens in a new tab)